Nepal counts both peaks that require mountaineering skills and 'trekking peaks'. If you want to cross the line between trekking and mountaineering, your best bet is to try one of these trekking peaks.
After a trek, acclimatizing, briefing and training, the climb to the peak is generally climbed in a simple 8-hour day, departing early in the morning. Only the last section is on snow and ice. However trekking peaks are 'walk-ups' and not technically difficult, they are physically demanding.
Your historical effort to summit the peak will be rewarded with probably one of the best panoramic views in the world as you feel Lhotse, Nuptse, Baruntse, Ama Dablam and Makalu almost touch the tip of your nose.